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231246240 = 25351721667
BaseRepresentation
bin11011100100010…
…00100110100000
3121010010112012120
431302020212200
5433144334430
634540224240
75505363201
oct1562104640
9533115176
10231246240
111095947a5
126553b080
1338ba75c4
14229d75a8
151547c610
hexdc889a0

231246240 has 144 divisors (see below), whose sum is σ = 774258912. Its totient is φ = 58003456.

The previous prime is 231246229. The next prime is 231246269. The reversal of 231246240 is 42642132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231246240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137887 + ... + 139553.

It is an arithmetic number, because the mean of its divisors is an integer number (5376798).

Almost surely, 2231246240 is an apocalyptic number.

231246240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387129456).

231246240 is an abundant number, since it is smaller than the sum of its proper divisors (543012672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231246240 is a wasteful number, since it uses less digits than its factorization.

231246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 231246240 is about 15206.7826972046. The cubic root of 231246240 is about 613.7971863899.

Adding to 231246240 its reverse (42642132), we get a palindrome (273888372).

The spelling of 231246240 in words is "two hundred thirty-one million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 480 510 544 578 680 816 867 1020 1156 1360 1445 1632 1667 1734 2040 2312 2720 2890 3334 3468 4080 4335 4624 5001 5780 6668 6936 8160 8335 8670 9248 10002 11560 13336 13872 16670 17340 20004 23120 25005 26672 27744 28339 33340 34680 40008 46240 50010 53344 56678 66680 69360 80016 85017 100020 113356 133360 138720 141695 160032 170034 200040 226712 266720 283390 340068 400080 425085 453424 481763 566780 680136 800160 850170 906848 963526 1133560 1360272 1445289 1700340 1927052 2267120 2408815 2720544 2890578 3400680 3854104 4534240 4817630 5781156 6801360 7226445 7708208 9635260 11562312 13602720 14452890 15416416 19270520 23124624 28905780 38541040 46249248 57811560 77082080 115623120 231246240